2115360 has 144 divisors (see below), whose sum is σ = 7842744. Its totient is φ = 516096.

The previous prime is 2115343. The next prime is 2115371. The reversal of 2115360 is 635112.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 1468944 = 804^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18664 + ... + 18776.

2^2115360 is an apocalyptic number.

2115360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921372).

2115360 is an abundant number, since it is smaller than the sum of its proper divisors (5727384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2115360 is a wasteful number, since it uses less digits than its factorization.

2115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2115360 is about 1454.4277225081. The cubic root of 2115360 is about 128.3693757576.

The spelling of 2115360 in words is "two million, one hundred fifteen thousand, three hundred sixty".